How Latitude Location on a Micro-World Enables Real-Time Nanoparticle Sizing

  • Steve Arnold
  • D. Keng
  • E. Treasurer
  • M. R. Foreman
Conference paper
Part of the NATO Science for Peace and Security Series B: Physics and Biophysics book series (NAPSB)

Abstract

We have devised a method for using the nanoparticle induced frequency shift of whispering gallery modes (WGMs) in a microspheroid for the accurate determination of the nanoparticle size in real time. Before the introduction of this technique, size determination from the mode shift could only be obtained statistically based on the assumption that the largest perturbation occurs for binding at the equator. Determining the latitude of the binding event using two polar WGMs results in an analytic method for size determination using a single binding event. The analysis proceeds by incorporating the binding latitude into the Reactive Sensing Principle (RSP), itself containing a shape dependent form factor found using the Born approximation. By comparing this theory with experiments we find that our theoretical approach is more accurate than point dipole theory even though the optical size (circumference/wavelength) is considerably less than one.

Notes

Acknowledgements

The research described herein was supported by the National Science Foundation grant EECS 1303499.

References

  1. 1.
    Arnold, S., Holler, S., & Fan, X. (2015). Taking microcavity label-free single molecule detection deep into the protein realm: Cancer marker detection at the ultimate sensitivity. In Nano-structures for optics and photonics (pp. 309–322). Dordrecht: Springer.Google Scholar
  2. 2.
    Arnold, S., Ramjit, R., Keng, D., Kolchenko, V., & Teraoka, I. (2008). Microparticle photophysics illuminates viral bio-sensing. Faraday Discussions, 137, 65–83.ADSCrossRefGoogle Scholar
  3. 3.
    McClellan, M. S., Domier, L. L., & Bailey, R. C. (2012). Label-free virus detection using silicon photonic microring resonators. Biosensors and Bioelectronics, 31, 388–392.CrossRefGoogle Scholar
  4. 4.
    Arnold, S., Khoshsima, M., Teraoka, I., Holler, S., & Vollmer, F. (2003). Shift of whispering- gallery modes in microspheres by protein adsorption. Optics Letters, 28, 272–274.ADSCrossRefGoogle Scholar
  5. 5.
    Foreman, M. R., Swaim, J. D., & Vollmer, F. (2015). Whispering gallery mode sensors. Advances in Optics and Photonics, 7, 168–240.CrossRefGoogle Scholar
  6. 6.
    Arnold, S., Keng, D., Shopova, S. I., Holler, S., Zurawsky, W., & Vollmer, F. (2009). Whispering gallery mode carousel. Optics Express, 17, 6230–6238.ADSCrossRefGoogle Scholar
  7. 7.
    Zhu, J., Ozdemir, S. K., Xiao, Y. F., Li, L., He, L., Chen, D. R., & Yang, L. (2010). On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator. Nature Photonics, 4, 46–49.ADSCrossRefGoogle Scholar
  8. 8.
    Kim, W., Özdemir, Ş. K., Zhu, J., & Yang, L. (2011). Observation and characterization of mode splitting in microsphere resonators in aquatic environment. Applied Physics Letters, 98, 141106.ADSCrossRefGoogle Scholar
  9. 9.
    Lu, T., Lee, H., Chen, T., Herchak, S., Kim, J. H., Fraser, S. E., Flagan, R., & Vahala, K. (2011). High sensitivity nanoparticle detection using optical microcavities. Proceedings of the National Academy of Sciences, 108, 5976–5979.ADSCrossRefGoogle Scholar
  10. 10.
    Keng, D., Tan, X., & Arnold, S. (2014). Whispering gallery micro-global positioning system for nanoparticle sizing in real time. Applied Physics Letters, 105, 071105.ADSCrossRefGoogle Scholar
  11. 11.
    Khoshsima, M. (2004). Perturbation of whispering gallery modes in microspheres by protein adsorption: Theory and experiment. Doctoral dissertation, Polytechnic University.Google Scholar
  12. 12.
    Vollmer, F. (2004). Resonant detection of nano to microscopic objects using whispering gallery modes. Doctoral dissertation, The Rockefeller University.Google Scholar
  13. 13.
    Deych, L., & Shuvayev, V. (2015). Spectral modification of whispering-gallery-mode resonances in spheroidal resonators due to interaction with ultra-small particles. Optics Letters, 40, 4536–4539.ADSCrossRefGoogle Scholar
  14. 14.
    Keng, T. K. D. (2009). Whispering gallery mode bioparticle sensing and transport. Doctoral dissertation, Polytechnic Institute of New York University.Google Scholar
  15. 15.
    Keng, D., McAnanama, S. R., Teraoka, I., & Arnold, S. (2007). Resonance fluctuations of a whispering gallery mode biosensor by particles undergoing Brownian motion. Applied Physics Letters, 91, 103902.ADSCrossRefGoogle Scholar
  16. 16.
    Lin, G., Qian, B., Oručević, F., Candela, Y., Jager, J. B., Cai, Z., Lefevre-Segun, V., & Hare, J. (2010). Excitation mapping of whispering gallery modes in silica microcavities. Optics Letters, 35, 583–585.ADSCrossRefGoogle Scholar
  17. 17.
    Little, B. E., Laine, J. P., & Haus, H. A. (1999). Analytic theory of coupling from tapered fibers and half-blocks into microsphere resonators. Journal of Lightwave Technology, 17, 704–715.ADSCrossRefGoogle Scholar
  18. 18.
    Teraoka, I., & Arnold, S. (2006). Theory of resonance shifts in TE and TM whispering gallery modes by nonradial perturbations for sensing applications. Journal of the Optical Society of America B, 23, 1381–1389.CrossRefGoogle Scholar
  19. 19.
    Sobel, D. (2007). Longitude: The true story of a lone genius who solved the greatest scientific problem of his time. New York: Bloomsbury Publishing.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  • Steve Arnold
    • 1
  • D. Keng
    • 1
  • E. Treasurer
    • 1
  • M. R. Foreman
    • 2
  1. 1.Microparticle Photophysics Lab (MP3Lab)NYU School of EngineeringBrooklynUSA
  2. 2.Max Planck Institute for the Science of Light91058 ErlangenGermany

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